Minimal-order groups with an irreducible character of degree p or p2

We characterize the finite groups of minimal order that admit an irreducible complex character of degree [Formula: see text] or [Formula: see text], where [Formula: see text] is a prime.

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Publication Details

Journal
Journal of Algebra and Its Applications
Published
2025-12-20
DOI
https://doi.org/10.1142/s0219498827501180
Primary Topic
Finite Group Theory Research
Type
article
Field-Weighted Citation Impact
0.00
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article

Minimal-order groups with an irreducible character of degree p or p2

Andrés Arranz
Journal of Algebra and Its Applications
Finite Group Theory Research
article

Minimal-order groups with an irreducible character of degree p or p2

Andrés Arranz
article en

Abstract

We characterize the finite groups of minimal order that admit an irreducible complex character of degree [Formula: see text] or [Formula: see text], where [Formula: see text] is a prime.

Journal of Algebra and Its Applications
Universidad Nacional de Educación a Distancia (ES), Instituto de Física Fundamental (ES)
Openalex Percentile: Top 52%
Finite Group Theory Research
DOISourceOpenAlex
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Minimal-order groups with an irreducible character of degree p or p2 — Andrés Arranz · Journal of Algebra and Its Applications (2025) | TGRS Research Map | TGRS